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Finding the Third Proportional to 35,029 and 48,168.50

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Solution

The third proportional to 35,029 and 48,168.50 is: 66,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,029 : 48,168.50 = 48,168.50 : x
  2. Step 2: Convert to fraction form
    35,029/48,168.50 = 48,168.50/x
  3. Step 3: Cross multiply
    35,029x = 48,168.50 × 48,168.50
  4. Step 4: Simplify right side
    35,029x = 2,320,204,392.25
  5. Step 5: Solve for x
    x = 2,320,204,392.25/35,029
  6. Step 6: Final answer
    x = 66,236.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.